The lattice of smooth sublocales as a Bruns–Lakser completion
| dc.contributor.author | Arrieta, Igor | |
| dc.contributor.author | Suarez, Anna Laura | |
| dc.date.accessioned | 2026-07-17T10:57:59Z | |
| dc.date.available | 2026-07-17T10:57:59Z | |
| dc.date.issued | 2026 | |
| dc.description.abstract | We characterise the frame morphisms f:L→M that lift to frame maps f¯:Sb(L)→Sb(M), where Sb(L) is the collection of joins of complemented sublocales of a frame L, or equivalently the Booleanization of the collection S(L) of all its sublocales. We do so by proving that Sb(L) is isomorphic to the Bruns–Lakser completion of the meet-semilattice formed by the locally closed sublocales, i.e. the sublocales of the form c(a)∩o(b) for a,b∈L. | |
| dc.identifier.citation | Arrieta, I. and Suarez, A.L., 2026. The Lattice of Smooth Sublocales as a Bruns–Lakser Completion: I. Arrieta, AL Suarez. Applied Categorical Structures, 34(4), p.37. | |
| dc.identifier.uri | https://doi.org/10.1007/s10485-026-09873-z | |
| dc.identifier.uri | https://hdl.handle.net/10566/24992 | |
| dc.language.iso | en | |
| dc.publisher | Springer Science and Business Media B.V. | |
| dc.subject | Admissible meet | |
| dc.subject | Bruns–Lakser completion | |
| dc.subject | Coframe | |
| dc.subject | Exact filter | |
| dc.subject | Frame | |
| dc.title | The lattice of smooth sublocales as a Bruns–Lakser completion | |
| dc.type | Article |